Question

Suppose the lengths, in seconds, of the songs in an online database are normally distributed. For a random sample of songs, the confidence interval (184.00, 188.00) is generated. Find the sample mean x. Give just a number for your answer. For example, if you found that the sample mean was 12, you would enter 12.

Answer 1

186

Explanation:

The sample mean, x, is the central value in the confidence interval, that is, the average between the upper and lower bounds of the interval.

In this case, the Lower bound is 184.00 and the upper bound is 188.00. Therefore, the sample mean is given by:

`x = (184+188)/(2)\\x=186.00`

The mean length, in seconds, of the sampled songs is 186.00.